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Finding the Fourth Proportional to 506.81, 760.56 and 198.66

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Solution

The fourth proportional to 506.81, 760.56 and 198.66 is: 298.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.81 : 760.56 = 198.66 : x
  2. Step 2: Convert to fraction form
    506.81/760.56 = 198.66/x
  3. Step 3: Cross multiply
    506.81x = 760.56 × 198.66
  4. Step 4: Simplify right side
    506.81x = 151,092.85
  5. Step 5: Solve for x
    x = 151,092.85/506.81
  6. Step 6: Final answer
    x = 298.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.